Quotes about definition
page 5

Ossip Zadkine photo
Emil M. Cioran photo

“Her point of view about student work was that of a social worker teaching finger-painting to children or the insane.
I was impressed with how common such an attitude was at Benton: the faculty—insofar as they were real Benton faculty, and not just nomadic barbarians—reasoned with the students, “appreciated their point of view”, used Socratic methods on them, made allowances for them, kept looking into the oven to see if they were done; but there was one allowance they never under any circumstances made—that the students might be right about something, and they wrong. Education, to them, was a psychiatric process: the sign under which they conquered had embroidered at the bottom, in small letters, Canst thou not minister to a mind diseased?—and half of them gave it its Babu paraphrase of Can you wait upon a lunatic? One expected them to refer to former students as psychonanalysts do: “Oh, she’s an old analysand of mine.” They felt that the mind was a delicate plant which, carefully nurtured, judiciously left alone, must inevitably adopt for itself even the slightest of their own beliefs.
One Benton student, a girl noted for her beadth of reading and absence of coöperation, described things in a queer, exaggerated, plausible way. According to her, a professor at an ordinary school tells you “what’s so”, you admit that it is on examination, and what you really believe or come to believe has “that obscurity which is the privilege of young things”. But at Benton, where education was as democratic as in “that book about America by that French writer—de, de—you know the one I mean”; she meant de Tocqueville; there at Benton they wanted you really to believe everything they did, especially if they hadn’t told you what it was. You gave them the facts, the opinions of authorities, what you hoped was their own opinion; but they replied, “That’s not the point. What do you yourself really believe?” If it wasn’t what your professors believed, you and they could go on searching for your real belief forever—unless you stumbled at last upon that primal scene which is, by definition, at the root of anything….
When she said primal scene there was so much youth and knowledge in her face, so much of our first joy in created things, that I could not think of Benton for thinking of life. I suppose she was right: it is as hard to satisfy our elders’ demands of Independence as of Dependence. Harder: how much more complicated and indefinite a rationalization the first usually is!—and in both cases, it is their demands that must be satisfied, not our own. The faculty of Benton had for their students great expectations, and the students shook, sometimes gave, beneath the weight of them. If the intellectual demands were not so great as they might have been, the emotional demands made up for it. Many a girl, about to deliver to one of her teachers a final report on a year’s not-quite-completed project, had wanted to cry out like a child, “Whip me, whip me, Mother, just don’t be Reasonable!””

Source: Pictures from an Institution (1954) [novel], Chapter 3, pp. 81–83

“There is a distinct reluctance, almost an unwillingness, on the part of Torah to grant man the privilege to consume meat. Man as an animal-eater is looked at askance by the Torah. There are definitive vegetarian tendencies in the Bible.”

Joseph B. Soloveitchik (1903–1993) American theologian

Joseph B. Soloveitchik, The Emergence of Ethical Man https://books.google.it/books?id=rIhh_Rx7utwC&pg=PA0, p. 31 (2005)

Ben Hecht photo
Stephen Harper photo
Marc Chagall photo
Karen Handel photo

“There has definitely been a significant bias from the local media like nothing like I have ever experienced, but I intend to have the last laugh when I win tomorrow.”

Karen Handel (1962) American politician

Karen Handel: ‘I Intend to Have the Last Laugh When I Win’ http://www.breitbart.com/big-government/2017/06/19/exclusive-karen-handel-intend-last-laugh-win/ (June 19, 2017)

Heather Brooke photo
Richard Pipes photo
Jordan Peterson photo

“You should be able to do things that you wouldn't do. That's the definition of a genuinely moral person. They could do it, but they don't.”

Jordan Peterson (1962) Canadian clinical psychologist, cultural critic, and professor of psychology

The Jordan B. Peterson Podcast #36 [@2:32:37]
Podcast

Thomas Carlyle photo
Prem Rawat photo

“Ask yourself for a moment what is really important to you—not by anyone else's definition but your own.”

Prem Rawat (1957) controversial spiritual leader

Seattle, Washington (1994) as reported in Maharaji, Visions International (1998)
1990s

Bob Barr photo

“The definition of throwing your vote away is to go into that voting booth and vote for one of two parties that will not change the direction this country's going in.”

Bob Barr (1948) Republican and Libertarian politician

Concord Monitor, (22 July 2008) Libertarian appeals to decisive voters http://www.concordmonitor.com/apps/pbcs.dll/article?AID=/20080723/FRONTPAGE/807230305, Concord Monitor, 22 July 2008.
2000s, 2008

Fritz Sauckel photo

“Although as a sailor I despised politics - for I loved my sailor's life and still love it today - conditions forced me to take up a definite attitude towards political problems.”

Fritz Sauckel (1894–1946) German general

Quoted in "Trial of the Major War Criminals Before the International Military Tribunal" - Nuremberg, Germany - 1948.

Peter F. Drucker photo
Francis Escudero photo
Israel Kirzner photo

“A piece of knowledge about boat-building, about whose correctness Crusoe has no doubts at all, will not be seen as a hunch and will be valued according to Menger's Law. It may be said that Crusoe is well aware that he possesses this kind of information; he will deploy and value it in the same way as he may be imagined to deploy and value other resources he believes are definitely at his disposal. But concerning Crusoe's hunches and his visions in the face of a changing, uncertain environment, it cannot be said at all that Crusoe knows he has a hunch or a vision of the future. He does not act by deliberately utilizing his hunch about the future; instead, he finds that his actions reflect his hunches…In other words, it turns out, the essence of entrepreneurial vision, and what sets it apart from knowledge as a resource, is reflected in Crusoe's lack of self-consciousness concerning it…Crusoe may…gradually come to be aware of his vision. When he does, that vision ceases to be entrepreneurial and comes to be a resource. Moreover, Crusoe's realization that he possesses this definite information resource may itself be entrepreneurial. As soon as he 'knows' that he possesses an item of knowledge, that item ceases to correspond to entrepreneurial vision; instead, as with all resources, it is Crusoe's belief that he has the resources at his disposal that may now constitute his entrepreneurial hunch.”

Israel Kirzner (1930) American economist

Israel Kirzner, (1979: 168-169); as cited in: " Israel Kirzner's Entrepreneurship http://www.constitution.org/pd/gunning/subjecti/workpape/kirz_ent.pdf" by the Constitution Society, May 31, 2004

“One definition of success might be refining our appetites, while deepening our hunger.”

"Where Epics Fail: Aphorisms on Art, Morality & Spirit" (2018)

Prem Rawat photo
Ian Hacking photo
Alfred P. Sloan photo
Richard Summerbell photo

“Immoral (definition): Obsolete expression meaning "politically incorrect."”

Richard Summerbell (1956) Canadian mycologist

Abnormally Happy: A Gay Dictionary (1985)

Donald J. Trump photo
Andy Samberg photo

“You have Mel Brooks and your Marx Brothers and your Larry David. So it's affected it enormously and really not at all. I don't think I've ever done anything comedically where the joke of it had to do with Judaism and Jewishness, but there's definitely a proud tradition of comedy in the Jews.”

Andy Samberg (1978) American comedian

Quoted in Monica Kim, "Andy Samberg on SNL, his hair and other things not in a box," http://www.northbynorthwestern.com/2008/04/9035/andy-samberg-on-snl-his-hair-and-other-things-not-in-a-box/ NorthbyNorthwestern.com (April 16, 2008).

Jean-François Millet photo

“[Theophile] Gautier's article is very good. I begin to feel a little more contented. His remarks about my thick colours are also very just. The critics who see and judge my pictures are not forced to know that in painting them I am not guided by a definite intention, although I do my utmost to try and attain the aim which I have in sight, independently of methods. People are not even obliged to know why it is that I work in this way, with all its faults.”

Jean-François Millet (1814–1875) French painter

Quote of Millet in his letter of 23 March 1851; as quoted by Julia Cartwright in Jean Francois Millet, his Life and Letters, Swan Sonnenschein en Co, Lim. London / The Macmillian Company, New York; second edition, September 1902, p. 112
the most famous painting of Millet 'The Sower', reviewed in an article then by Gautier, was exhibited for the first time in 'The Salon' of Paris, at the End of 1850
1851 - 1870

Ezra Pound photo

“Both in Greece and in Provence the poetry attained its highest rhythmic and metrical brilliance at times when the arts of verse and music were most closely knit together, when each thing done by the poet had some definite musical urge or necessity bound up within it.”

Ezra Pound (1885–1972) American Imagist poet and critic

"The Tradition", in Poetry, ed. by Harriet Monroe, III, 3 (Dec. 1913), p. 137; reprinted in Literary Essays of Ezra Pound (1968), p. 91.

“Love can't be pinned down by a definition, and it certainly can't be proved, anymore than anything else important in life can be proved.”

Madeleine L'Engle (1918–2007) American writer

Section 1.16
The Crosswicks Journal, A Circle of Quiet (1972)

Wisława Szymborska photo

“For the sake of research,
the big picture
and definitive conclusions,
one would have to transcend time,
in which everything scurries and whirls.”

Wisława Szymborska (1923–2012) Polish writer

"We're Extremely Fortunate"
Poems New and Collected (1998), The End and the Beginning (1993)

Richard Summerbell photo
Christopher Hitchens photo

“In what people irritatingly call "iconic" terms, Bin Laden certainly had no rival. The strange, scrofulous quasi-nobility and bogus spirituality of his appearance was appallingly telegenic, and it will be highly interesting to see whether this charisma survives the alternative definition of revolution that has lately transfigured the Muslim world. The most tenaciously lasting impression of all, however, is that of his sheer irrationality. What had the man thought he was doing? Ten years ago, did he expect, let alone desire, to be in a walled compound in dear little Abbottabad?…Ten years ago, I remind you, he had a gigantic influence in one rogue and failed state—Afghanistan—and was exerting an increasing force over its Pakistani neighbor. Taliban and al-Qaida sympathizers were in senior positions in the Pakistani army and nuclear program and had not yet been detected as such. Huge financial subventions flowed his way, often through official channels, from Saudi Arabia and other gulf states…. Then, not only did he run away from Afghanistan, leaving his deluded followers to be killed in very large numbers, but he chose to remain a furtive and shady figure, on whom the odds of a successful covert "hit," or bought-and-paid-for betrayal, were bound to lengthen every day…It seems thinkable that he truly believed his own mad propaganda, often adumbrated on tapes and videos, especially after the American scuttle from Somalia. The West, he maintained, was rotten with corruption and run by cabals of Jews and homosexuals. It had no will to resist. It had become feminized and cowardly. One devastating psychological blow and the rest of the edifice would gradually follow the Twin Towers in a shower of dust. Well, he and his fellow psychopaths did succeed in killing thousands in North America and Western Europe, but in the past few years, their main military triumphs have been against such targets as Afghan schoolgirls, Shiite Muslim civilians, and defenseless synagogues in Tunisia and Turkey. Has there ever been a more contemptible leader from behind, or a commander who authorized more blanket death sentences on bystanders?”

Christopher Hitchens (1949–2011) British American author and journalist

2011-05-02
http://www.slate.com/articles/news_and_politics/fighting_words/2011/05/death_of_a_madman.html
Death of a Madman
Slate
1091-2339
2010s, 2011

Dean Acheson photo
Ilana Mercer photo
Vincent Van Gogh photo

“When then is liberalism correctly understood? Liberalism is not an exclusvely political term. It can be applied to a prison reform, to an economic order, to a theology. Within the political framework, the question is not (as in a democracy) “Who should rule?” but “How should rule be exercised?” The reply is “Regardless of who rules—a monarch, an elite, a majority, or a benevolent dictator—governments should be exercised in such a way that each citizen enjoys the greatest amount of personal liberty.” The limit of liberty is obviously the common good. But, admittedly, the common good (material as well as immaterial) is not easily defined, for it rests on value judgments. Its definition is therefore always somewhat arbitrary. Speed limits curtail freedom in the interests of the common good. Is there a watertight case for forty, forty-five, or fifty miles an hour? Certainly not…. Freedom is thus the only postulate of liberalism—of genuine liberalism. If, therefore, democracy is liberal, the life, the whims, the interests of the minority will be just as respected as those of the majority. Yet surely not only a democracy, but a monarchy (absolute or otherwise) or an aristocratic (elitist) regime can be liberal. In fact, the affinity between democracy and liberalism is not at all greater than that between, say, monarchy and liberalism or a mixed government and liberalism. (People under the Austrian monarchy, which was not only symbolic but an effective mixed government, were not less free than those in Canada, to name only one example.)”

Erik von Kuehnelt-Leddihn (1909–1999) Austrian noble and political theorist

Source: Leftism Revisited (1990), p. 21

Vitruvius photo
André Breton photo

“Oneiric values have definitely won out over the others, and I maintain that anyone who still refuses to see, for instance, a horse galloping on a tomato, must be an idiot. A tomato is also a child's balloon - Surrealism, again, having suppressed the word "like."”

André Breton (1896–1966) French writer

https://books.google.co.uk/books?id=baKRHNX7eo0C&pg=PA43#v=onepage&q&f=false
from: Point du Jour (Break of Day; 1934)
Breton's quote is often misquoted as The man who can't visualize a horse galloping on a tomato is an idiot.
after 1930

Mao Zedong photo
Simon Stevin photo

“The sixt Definition. A Whole number is either a unitie, or a compounded multitude of unities.”

Simon Stevin (1548–1620) Flemish scientist, mathematician and military engineer

Disme: the Art of Tenths, Or, Decimall Arithmetike (1608)

Hillary Clinton photo

“This is the president that looked in the soul of Putin [see George W. Bush's quote above], and I could have told him, he was a KGB agent. By definition he doesn't have a soul. I mean, this is a waste of time, right? This is nonsense, but this is the world we're living in right now.”

Hillary Clinton (1947) American politician, senator, Secretary of State, First Lady

On the Russian President Vladimir Putin http://www.boston.com/news/nation/articles/2008/01/07/hillary_clinton_campaigning_ponders_putins_soul/
Presidential campaign (January 20, 2007 – 2008)

Ed Harcourt photo

“And if you need to kiss me. Then you'll most definitely miss me. When I'm gone.”

Ed Harcourt (1977) British musician

She Fell Into My Arms

Bart D. Ehrman photo
Maurice Jones-Drew photo
Liam Hemsworth photo
George Holmes Howison photo

“Before it can be said, then, that human freedom and the absolute definiteness of God as Supreme Reason are really reconciled, we must have found some way of harmonising the eternity of the human spirit with the creative and regenerative offices of God. The sense of their antagonism is nothing new. Confronted with the race-wide fact of human sin, the elder theology proclaimed this antagonism, and solved it by denying to man any but a temporal being; quite as the common-sense of the everyday Philistine, absorbed in the limitations of the sensory life, proclaims the mere finitude of man, and is stolid to the ideal considerations that suggest immortality and moral freedom, rating them as day-dreams beneath sober notice, because the price of their being real is the attributing to man nothing short of infinity. "We are finite! merely finite!" is the steadfast cry of the old theology and of the plodding common realist alike; and, sad to say, of most of historic philosophy too. And the old theology, with more penetrating consistency than the realistic ordinary man or the ordinary philosophy, went on to complete its vindication of the Divine Sovereignty from all human encroachment by denying the freedom of man altogether.”

George Holmes Howison (1834–1916) American philosopher

Source: The Limits of Evolution, and Other Essays, Illustrating the Metaphysical Theory of Personal Ideaalism (1905), The Harmony of Determinism and Freedom, p.330-1

Lech Kaczyński photo
Robert Benchley photo
Calvin Coolidge photo
Theodosius Dobzhansky photo
Marlen Esparza photo
Frank Johnson Goodnow photo
Alija Izetbegović photo
Lauren Southern photo

“and they [the boomers] definitely pranked us fiscally with debt that [we] will never be able to pay off.”

Lauren Southern (1995) Canadian libertarian commentator

0:25-30
2017 New Year's Resolutions for Millennials

Robert Seymour Bridges photo
Roger Manganelli photo
Edward O. Wilson photo

“My definition of a scientist is that you can complete the following sentence: ‘he or she has shown that…”

Edward O. Wilson (1929) American biologist

http://www.independent.co.uk/news/science/why-richard-dawkins-is-no-scientist-the-survival-of-the-least-selfish-and-what-ants-can-tell-us-about-humans-eo-wilson-on-his-new-book-the-meaning-of-human-existence-9849956.html

Bernhard Riemann photo
Pete Seeger photo
Henry David Thoreau photo

“A theorem is a proposition which is a strict logical consequence of certain definitions and other propositions”

Anatol Rapoport (1911–2007) Russian-born American mathematical psychologist

Anatol Rapoport. " Various meanings of “theory”." http://www.acsu.buffalo.edu/~fczagare/PSC%20504/Rapoport%20(1958).pdf American Political Science Review 52.04 (1958): 972-988.
1950s

Morrissey photo

“By definition, a pair of inherently unmeasurable, non-stationary systems, are coupled to produce an inherently measurable stationary system.”

Gordon Pask (1928–1996) British psychologist

Source: An Approach to Cybernetics (1961), p. 98.

Scott Ritter photo

“I'll say this about nuclear weapons. You know I'm not sitting on the Joint Chiefs of Staff, I'm not in on the planning. I'll take it at face value that the Chairman of the Joint Chiefs of Staff successfully eliminated nuclear weapons in the first phase of the operation.But keep in mind this. That the Bush Administration has built a new generation of nuclear weapons that we call 'usable nukes.' And they have a nuclear posture now, which permits the pre-emptive use of nuclear weapons in a non-nuclear environment, if the Commander in Chief deems U. S. forces to be in significant risk.If we start bombing Iran, I'm telling you right now, it's not going to work. We're not going to achieve decapitation, regime change, all that. What will happen is the Iranians will respond, and we will feel the pain instantaneously, which will prompt the Bush administration to phase two, which will have to be boots on the ground. And we will put boots on the ground, we will surge a couple of divisions in, probably through Azerbaijan, down the Caspian Sea coast, in an effort to push the regime over. And when they don't push over, we now have 40,000 troops trapped. We have now reached the definition of significant numbers of U. S. troops in harm's way, and there is no reserve to pull them out! There's no more cavalry to come riding to the rescue. And at that point in time, my concern is that we will use nuclear weapons to break the backbone of Iranian resistance, and it may not work.But what it will do is this: it will unleash the nuclear genie. And so for all those Americans out there tonight who say, 'You know what - taking on Iran is a good thing.' I just told you if we take on Iran, we're gonna use nuclear weapons. And if we use nuclear weapons, the genie ain't going back in the bottle, until an American city is taken out by an Islamic weapon in retaliation. So, tell me, you want to go to war with Iran. Pick your city. Pick your city. Tell me which one you want gone. Seattle? L. A.? Boston? New York? Miami. Pick one. Cause at least one's going. And that's something we should all think about before we march down this path of insanity that George Bush has us headed on.</p”

Scott Ritter (1961) American weapons inspector and writer

October 16, 2006
2006

Bran Ferren photo

“[On the need for ultra high definition television] The problem with television isn't the number of horizontal scanning lines. It's the lines of dialogue spoken by the actors.”

Bran Ferren (1953) American technologist

Museums for the New Millennium: Proceedings, museumstudies.si.edu, 2017-03-12 http://museumstudies.si.edu/millennium/proceed8.htm,

Hilaire Belloc photo
Richard Summerbell photo

“Closet (definition): Basement suite of a heterosexual outhouse.”

Richard Summerbell (1956) Canadian mycologist

Abnormally Happy: A Gay Dictionary (1985)

Dan Harmon photo
Aidan Nichols photo
Brandon Boyd photo

“I've had all that I can take and exploding seems like a definite possibility to me.”

Brandon Boyd (1976) American rock singer, writer and visual artist

Lyrics, Make Yourself (1999)

Walt Disney photo
Paul Weyrich photo

“I believe that we probably have lost the culture war. That doesn't mean the war is not going to continue, and that it isn't going to be fought on other fronts. But in terms of society in general, we have lost. This is why, even when we win in politics, our victories fail to translate into the kind of policies we believe are important.Therefore, what seems to me a legitimate strategy for us to follow is to look at ways to separate ourselves from the institutions that have been captured by the ideology of Political Correctness, or by other enemies of our traditional culture. I would point out to you that the word "holy" means "set apart," and that it is not against our tradition to be, in fact, "set apart." You can look in the Old Testament, you can look at Christian history. You will see that there were times when those who had our beliefs were definitely in the minority and it was a band of hardy monks who preserved the culture while the surrounding society disintegrated.What I mean by separation is, for example, what the homeschoolers have done. Faced with public school systems that no longer educate but instead "condition" students with the attitudes demanded by Political Correctness, they have seceded. They have separated themselves from public schools and have created new institutions, new schools, in their homes.”

Paul Weyrich (1942–2008) American political activist

Letter to Amy Ridenour, National Center for Public Policy Research http://www.nationalcenter.org/Weyrich299.html (1999-02-16)

L. Ron Hubbard photo
Aron Ra photo
Elizabeth Loftus photo

“I find it very significant that no religious traditions, Islam included, is ever in a position, I think almost by definition, to put cruelty first in the order of its priorities of the terrible things that human beings can do. That is perfectly illustrated in the story of Abraham's sacrifice with his son. Because, of course, what the story's all about is faith, the importance, and the primacy of faith. … What is the essence of faith in the story is Abraham's willingness (a) not to question God about his command to sacrifice his son, and (b) to proceed slowly, deliberately, over a period of time -- three days, I think it was -- [and] march up the mountain, prepare the sacrifice, unquestioning, resolute. [It was] the perfect, as Kierkegaard put it, "night of faith" model, exemplar of faith. And [Abraham] is, in the Muslim tradition exactly that -- an exemplar of faith. That is the importance of Abraham to Muslims. … Had he faltered, his faith would have been less, a degree or so less. He didn't falter. God immediately stops it at the absolute last moment and, of course, the act is ended. But what the story is all about is how faith in God comes first, before anything else, and then follow various virtues, of which harm to other human beings surely has to be below faith. It seemed to me that that is something that the hijackers certainly took to heart.”

Kanan Makiya (1949) American orientalist

"Faith and Doubt at Ground Zero" http://www.pbs.org/wgbh/pages/frontline/shows/faith/interviews/makiya.html, PBS Frontline (2002)

John Turner photo
Arun Shourie photo

“Furthermore, we are instructed, when we do come across instances of temple destruction, as in the case of Aurangzeb, we have to be circumspect in inferring what has happened and why…. the early monuments – like the Quwwat-ul-Islam mosque in Delhi – had to be built in ‘great haste’, we are instructed…Proclamation of political power, alone! And what about the religion which insists that religious faith is all, that the political cannot be separated from the religious? And the name: the Quwwat-ul-Islam mosque, the Might of Islam mosque? Of course, that must be taken to be mere genuflection! And notice: ‘available materials were assembled and incorporated’, they ‘clearly came from Hindu sources’ – may be the materials were just lying about; may be the temples had crumbled on their own earlier; may be the Hindus voluntarily broke their temples and donated the materials? No? After all, there is no proof they didn’t! And so, the word ‘plundered’ is repeatedly put within quotation marks!
In fact, there is more. The use of such materials – from Hindu temples – for constructing Islamic mosques is part of ‘a process of architectural definition and accommodation by local workmen essential to the further development of a South Asian architecture for Islamic use’. The primary responsibility thus becomes that of those ‘local workmen’ and their ‘accommodation’. Hence, features in the Qutb complex come to ‘demonstrate a creative response by architects and carvers to a new programme’. A mosque that has clearly used materials, including pillars, from Hindu temples, in which undeniably ‘in the fabric of the central dome, a lintel carved with Hindu deities has been turned around so that its images face into the rubble wall’ comes ‘not to fix the rule’. ‘Rather, it stands in contrast to the rapid exploration of collaborative and creative possibilities – architectural, decorative, and synthetic – found in less fortified contexts.’ Conclusions to the contrary have been ‘misevaluations’. We are making the error of ‘seeing salvaged pieces’ – what a good word that, ‘salvaged ’: the pieces were not obtained by breaking down temples; they were lying as rubble and would inevitably have disintegrated with the passage of time; instead they were ‘salvaged ’, and given the honour of becoming part of new, pious buildings – ‘seeing salvaged pieces where healthy collaborative creativity was producing new forms’.”

Arun Shourie (1941) Indian journalist and politician

Eminent Historians: Their Technology, Their Line, Their Fraud

Joseph Kosuth photo
Courtney B. Vance photo
Alice A. Bailey photo

“It is known that the mathematics prescribed for the high school [Gymnasien] is essentially Euclidean, while it is modern mathematics, the theory of functions and the infinitesimal calculus, which has secured for us an insight into the mechanism and laws of nature. Euclidean mathematics is indeed, a prerequisite for the theory of functions, but just as one, though he has learned the inflections of Latin nouns and verbs, will not thereby be enabled to read a Latin author much less to appreciate the beauties of a Horace, so Euclidean mathematics, that is the mathematics of the high school, is unable to unlock nature and her laws. Euclidean mathematics assumes the completeness and invariability of mathematical forms; these forms it describes with appropriate accuracy and enumerates their inherent and related properties with perfect clearness, order, and completeness, that is, Euclidean mathematics operates on forms after the manner that anatomy operates on the dead body and its members.
On the other hand, the mathematics of variable magnitudes—function theory or analysis—considers mathematical forms in their genesis. By writing the equation of the parabola, we express its law of generation, the law according to which the variable point moves. The path, produced before the eyes of the 113 student by a point moving in accordance to this law, is the parabola.
If, then, Euclidean mathematics treats space and number forms after the manner in which anatomy treats the dead body, modern mathematics deals, as it were, with the living body, with growing and changing forms, and thus furnishes an insight, not only into nature as she is and appears, but also into nature as she generates and creates,—reveals her transition steps and in so doing creates a mind for and understanding of the laws of becoming. Thus modern mathematics bears the same relation to Euclidean mathematics that physiology or biology … bears to anatomy. But it is exactly in this respect that our view of nature is so far above that of the ancients; that we no longer look on nature as a quiescent complete whole, which compels admiration by its sublimity and wealth of forms, but that we conceive of her as a vigorous growing organism, unfolding according to definite, as delicate as far-reaching, laws; that we are able to lay hold of the permanent amidst the transitory, of law amidst fleeting phenomena, and to be able to give these their simplest and truest expression through the mathematical formulas”

Christian Heinrich von Dillmann (1829–1899) German educationist

Source: Die Mathematik die Fackelträgerin einer neuen Zeit (Stuttgart, 1889), p. 37.

Jonah Lehrer photo
Georg Wilhelm Friedrich Hegel photo